Question
Write the compound inequality for the graph :
Hint:
If two real numbers or algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality. For example, x>5 (x should be greater than 5).
A compound inequality is a sentence with two inequality statements joined either by the word “or” or by the word “and.” “And” indicates that both statements of the compound sentence are true at the same time. “Or” indicates that, as long as either statement is true, the entire compound sentence is true.
If the symbol is (≥ or ≤) then you fill in the dot and if the symbol is (> or <) then you do not fill in the dot.
The correct answer is: the inequality is x ≤ -4 or x > -1.
Let’s say that the number line is representing the number x
So, by seeing the number line we can conclude that x is less than or equal to -4 or x is greater than -1. So inequalities are represented as
x ≤ -4 or x > -1
Final Answer:
Hence, the inequality is x ≤ -4 or x > -1.
Final Answer:
Hence, the inequality is x ≤ -4 or x > -1.
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• Draw the line as a dashed line if the inequality sign lacks an equals sign (or >).
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The graph intersection of the inequalities is represented by the graph of a compound inequality with an " and."
A number is a solution to compound inequality if it resolves both inequalities. It can also be written as x > -1 and x < 2 or as -1 < x < 2.
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2x+5 > -3 and 4x+7 < 15
Two or more inequalities separated by "and" or "or" make up a compound inequality.
The graph intersection of the inequalities is represented by the graph of a compound inequality with an " and."
A number is a solution to compound inequality if it resolves both inequalities. It can also be written as x > -1 and x < 2 or as -1 < x < 2.
The graph of a compound inequality is the union of the graphs of each inequality. If a number solves at least one of the inequalities, it is a solution to the compound inequality. It is written as x < -1 or x > 2.
and q =
